The apparatus consists of a round level table in the center of which is a massless ring. There are three strings tied to different spots on the ring. Each string passes parallel over the table and is individually strung over a frictionless pulley (there are three pulleys) where a mass is hung. The table is degree marked to indicate the position or angle of each string. There is a mass m1 = 161 g located at θ1 = 26.5° and a second mass m2 = 223 g located at θ2 = 279°. Calculate the mass m3, and location (in degrees), θ3, which will balance the system and the ring will remain stationary.